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What are the subset of the real number system?
Irrational Numbers, Rational Numbers, Integers, Whole numbers, Natural numbers
What subset of the real number system does -5 belong in?
To any set that contains it! It belongs to {-5}, or {45, sqrt(2), -5, pi, -3/7}, or all whole numbers between -43 and 53, or multiples of 5, or integers, or rational numbers, or real numbers, etc.
What is a -29 in the real number system?
-29 is an element of the real number system. That is to say, it belongs to the set of real numbers.
What is the relationships among the various number sets in the real number system?
We can look at real numbers as the biggest set. Then some real numbers can be written as fractions. Those are rational numbers and that is a subset of reals. Some cannot be written as fractions and those are irrationals, another subset of the reals.Now those that are rational might have a denominator of 1 such as 3/1 of -3/1. These are a subset of the rationals and hence of the reals. They are called integers. Now if we look at 0 and the positive integers, these are the whole numbers. If we get rid of 0, these are the natural numbers.
Which subset of the real number system contains the most rational number and explain why?
The set of all rational numbers.If the set contains all of them then no other set can contain any more rational numbers.
